Dane Sabo
2497bb4aa5
M .task/backlog.data M .task/completed.data M .task/pending.data M .task/undo.data A PLAN_OF_STUDY_111225.pdf R Writing/202510270-Emerson-Pres/SaboOneSlide.pdf -> Presentations/202510270-Emerson-Pres/SaboOneSlide.pdf R Writing/202510270-Emerson-Pres/beamerthemedane.sty -> Presentations/202510270-Emerson-Pres/beamerthemedane.sty R Writing/202510270-Emerson-Pres/beamerthemedane_native.sty -> Presentations/202510270-Emerson-Pres/beamerthemedane_native.sty
61 lines
2.4 KiB
TeX
61 lines
2.4 KiB
TeX
% Approach Overview
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\begin{frame}{Unifying discrete synthesis and continuous verification enables end-to-end guarantees}
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\begin{center}
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\begin{tikzpicture}[node distance=1.5cm, auto, scale=0.85, transform shape]
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\tikzstyle{box} = [rectangle, rounded corners, minimum width=3.5cm, minimum height=1.2cm, text centered, draw=black, fill=blue!20, font=\small]
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\tikzstyle{arrow} = [->, >=stealth, very thick]
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\tikzstyle{tool} = [font=\tiny, text=green!50!black]
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% Thrust 1
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\node[box] (proc) {Procedures};
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\node[box, right=of proc] (ltl) {Temporal\\Logic};
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\draw[arrow] (proc) -- node[above] {\textbf{Thrust 1}} (ltl);
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\node[tool, below=0.1cm of ltl] {FRET};
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% Thrust 2
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\node[box, right=of ltl] (auto) {Discrete\\Automaton};
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\draw[arrow] (ltl) -- node[above] {\textbf{Thrust 2}} (auto);
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\node[tool, below=0.1cm of auto] {Synthesis};
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% Thrust 3
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\node[box, right=of auto] (cont) {Continuous\\Modes};
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\draw[arrow] (auto) -- node[above] {\textbf{Thrust 3}} (cont);
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\node[tool, below=0.1cm of cont] {Reachability};
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\end{tikzpicture}
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\end{center}
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\vspace{0.5cm}
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\begin{center}
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\begin{tikzpicture}
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\draw[thick, fill=gray!20] (0,0) rectangle (12,3);
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\node[align=center, text width=10cm] at (6,1.5) {
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\textbf{FIGURE: Detailed Pipeline Diagram}\\[0.2cm]
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Show example flowing through all three thrusts\\
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with visual representations of transformations
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};
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\end{tikzpicture}
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\end{center}
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%SPEAKER NOTES: See comments below
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%
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\textbf{Three-Thrust Integrated Approach:}
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\textbf{Thrust 1 (Procedures → Temporal Logic):}
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Use NASA FRET to translate written procedures to formal specifications.
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Example: ``If high temp, insert rods until reset'' becomes $G(T_{high} \rightarrow X(\text{rods} \wedge \ldots))$
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Realizability checking catches errors in procedures before implementation.
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\textbf{Thrust 2 (Temporal Logic → Discrete Automaton):}
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Reactive synthesis generates correct-by-construction state machine.
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Discrete controller is mathematically guaranteed to follow specifications.
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\textbf{Thrust 3 (Continuous Controllers):}
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Use reachability analysis and barrier certificates.
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Compositional verification: local proofs, global guarantees.
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\textbf{Innovation:} Each piece uses state-of-the-art tools; innovation is in the integration.
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% (End of speaker notes)
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\end{frame}
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